1112193210240 has 512 divisors, whose sum is σ = 4506337152000. Its totient is φ = 253955727360.

The previous prime is 1112193210229. The next prime is 1112193210253. The reversal of 1112193210240 is 420123912111.

1112193210240 is a `hidden beast` number, since 1 + 1 + 121 + 93 + 210 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134140495 + ... + 134148785.

It is an arithmetic number, because the mean of its divisors is an integer number (8801439750).

Almost surely, 2^{1112193210240} is an apocalyptic number.

1112193210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112193210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253168576000).

1112193210240 is an abundant number, since it is smaller than the sum of its proper divisors (3394143941760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1112193210240 is a wasteful number, since it uses less digits than its factorization.

1112193210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9435 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1112193210240 in words is "one trillion, one hundred twelve billion, one hundred ninety-three million, two hundred ten thousand, two hundred forty".